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Finding the Fourth Proportional to 843.42, 1,163.89 and 470.38

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Solution

The fourth proportional to 843.42, 1,163.89 and 470.38 is: 649.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.42 : 1,163.89 = 470.38 : x
  2. Step 2: Convert to fraction form
    843.42/1,163.89 = 470.38/x
  3. Step 3: Cross multiply
    843.42x = 1,163.89 × 470.38
  4. Step 4: Simplify right side
    843.42x = 547,470.58
  5. Step 5: Solve for x
    x = 547,470.58/843.42
  6. Step 6: Final answer
    x = 649.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.